1. Field of the Invention
The present invention relates to optical systems. More specifically, the present invention relates to systems and methods for minimizing interferometric distortion and relative intensity noise in directly modulated fiber optic links.
2. Description of the Related Art
In a fiber optic transmission system, an RF (radio frequency) signal is often modulated onto an optical carrier and delivered subsequently to a remote site for additional processing via an optical link. During the modulation and transmission process, undesirable intermodulation products can be generated, corrupting the fidelity of the transmitted signal. In addition, relative intensity noise (RIN) generated by the transmitter further reduces the spur free dynamic range (SFDR) of the system. A maximal SFDR is desirable for many applications, such as the transmission of cable TV signals.
A viable method for reducing intermodulation distortion—in particular, those originating from interferometric effects—is to employ an externally modulated link, in which the output of a CW (continuous wave) laser is externally modulated using an electro-optic (EO) modulator. Many systems currently use this approach; however, it has several undesirable properties. In particular, the manner by which the EO modulator is designed requires a relatively expensive polarization maintaining fiber for coupling the output of the CW laser to the EO modulator. Secondly, the external modulator itself is fairly expensive, resulting in an impetus to replace it with a less costly solution.
An alternative approach is to use a directly modulated diode laser as the optical source. With this approach, the CW laser and the external modulator are replaced by a single component, a directly modulated diode laser. The RF input signal is transmitted by current modulation of the diode laser to the optical fiber. This is the desirable approach to replace the more expensive externally modulated link used in present systems. In addition to being potentially lower in cost, a directly modulated link is more compact and consumes less power.
Unfortunately, the directly modulated approach suffers from corruption of the transmission signal due to interferometric distortion. To mitigate this undesirable effect, an optical isolator is typically placed between the diode laser and its fiber pigtail. The use of an optical isolator, however, increases the complexity of the optics needed to efficiently couple the emission of the diode laser to the optical fiber. Furthermore, optical isolators are typically specified to operate over limited temperature ranges. In practice, the coupling efficiencies measured—with passage through these isolators—could also vary with temperature because of differences in the coefficients of thermal expansion between the laser mount, lens/isolator mount and fiber-anchor in the transmitter package. In addition, the diode laser generates relative intensity noise, which—although small in comparison to the signal—may affect applications where very high SFDR is required.
Hence, a need exists in the art for an improved system or method for minimizing interferometric intermodulation distortion and relative intensity noise in a directly modulated fiber optic link which is lower in cost and which can maintain a high efficiency over a wider temperature range than conventional approaches.
The need in the art is addressed by the laser transmitter of the present invention. The novel laser transmitter includes a laser, an external reflector adapted to form an extended cavity to the laser, and a feedback control loop adapted to detect noise in the laser and in accordance therewith, adjust the optical phase of the extended cavity such that the noise is at a desired level. The optical phase of the extended cavity is adjusted by adjusting an operating parameter of the laser, such as its bias current. In an illustrative embodiment, the feedback control loop is adapted to compute the rate of change of the noise with respect to bias current and in accordance therewith, adjust the bias current of the laser such that relative intensity noise and interferometric intermodulation distortion are simultaneously minimized.
Illustrative embodiments and exemplary applications will now be described with reference to the accompanying drawings to disclose the advantageous teachings of the present invention.
While the present invention is described herein with reference to illustrative embodiments for particular applications, it should be understood that the invention is not limited thereto. Those having ordinary skill in the art and access to the teachings provided herein will recognize additional modifications, applications, and embodiments within the scope thereof and additional fields in which the present invention would be of significant utility.
As mentioned above, the conventional method for reducing interferometric intermodulation distortion is to use an externally modulated link.
Many systems currently use this approach; however, it has several undesirable properties. In particular, because of the way the electro-optic modulator 12 is designed, the input end requires a relatively expensive polarization maintaining fiber 16. Second, the external modulator 12 itself is fairly expensive, so there is a need to replace it with a less costly solution. One approach is to use a directly modulated diode laser as the optical source.
In order to reduce interferometric distortion in a directly modulated link, an optical isolator is typically added between the diode laser 32 and the optical fiber 18. The use of an optical isolator, however, increases the complexity of the optics needed to efficiently couple the emission of the diode laser to the optical fiber. Furthermore, optical isolators are typically specified to operate over limited temperature ranges. Their figure of merit for isolation, defined as the ratio of the reflected power to incident power at the isolator's input plane, degrades substantially outside the specified temperature range of operation.
The present invention includes a laser transmitter having an external reflector and a novel feedback control system that simultaneously minimizes interferometric intermodulation distortion and relative intensity noise (RIN), and maintains their minimums over long periods of operation. Before discussing the details of the present invention, some technical background is first provided on (i) the origin of interferometric distortion, and (ii) the effects of an external reflector on interferometric distortion and the intensity noise of a diode laser.
In particular, the phase-modulation θ(t) stems from the chirping (Δf) of the lasing frequency in a diode laser, and is given by: θ(t)=β cos(ωmt), where ωm=2πfm is the modulation frequency of the diode's drive current, and β=Δf/fm is the phase modulation index in the optical field E(t). This wavelength chirp (Δλ) and the accompanying phase modulation occur because a modulation of the gain in the diode's active medium—via current modulation—induces, at the same time, a significant fluctuation (Δnd) in the real part (nd) of its refractive index. This causes a self-induced modulation (ΔLopt) of the laser's optical cavity length, giving rise to the observed wavelength chirp. A parameter α, known as the linewidth enhancement factor, has been adopted in the literature to quantify the aforementioned coupling between the real and imaginary part (corresponding to gain) of a semiconductor's refractive index. Specifically, α has a typical magnitude of about 1-3 for quantum well lasers. One can also estimate its magnitude with the equation: α=−2(β/m), where m is the amplitude modulation index in E(t).
By coupling the optical output of the diode laser to an external reflector, the chirp Δλ of the lasing wavelength λo can be significantly reduced, thereby achieving a reduction in the generation of interferometric IM3.
The formation of an extended cavity reduces the modulation ΔLopt of the laser's optical cavity length to a small fraction of the transmitter's overall optical cavity length (Lopt˜nexLex). Specifically, the reduced wavelength chirp Δλ is now given by:
Hence, the wavelength chirp is reduced by the ratio of the diode's original optical cavity length to that of the extended-cavity laser. This reduces the generation of intermodulation distortion.
It is also well known that the magnitude of relative intensity noise in a diode laser is sensitive to the optical phase φex of external feedback. If τex is the round trip time of light in the external cavity (see
reff=|reff|ejφ
In effect, the light (in the diode 32) that comes from its coupling facet 54 has an optical phase φeff that varies periodically with φex. With external feedback to the diode, the oscillation frequency Ωo of the overall laser is determined from the equation:
where m is an integer. Thus, one can fine tune the lasing frequency Ωo—for example, to minimize RIN —by changing (i) the original (solitary) diode lasing frequency ωo (set by the second term of Eqn. 3), or (ii) the effective phase φeff of the feedback from the external reflector. (ωo is the optical oscillation frequency of the diode laser 32 in the absence of external feedback.)
To model the dynamic characteristics of a diode laser under external feedback, one needs to solve the Van der Pol equation for an extended cavity. Prior studies have solved this equation with the incorporation of Langevin noise sources, obtaining an expression for the transmitter's intensity noise spectrum as a function of τexφex, RAR, Rex, the fiber coupling efficiency ηc, and the diode's output power, as well as other parameters intrinsic to the diode laser, such as its photon lifetime and the roundtrip time τd of light inside the diode. Based on the derived expression for the noise spectrum, the RIN was calculated (in dB/Hz) over a range of RF-frequencies fRF. Specifically, the diode's intrinsic RIN was compared with the estimated RIN under external feedback, for different values of φex.
Thus, under optimal phases of external feedback, the diode will demonstrate lower intensity noise than a solitary laser source (i.e. one operating without external feedback). In the present invention, a novel approach is disclosed that enables one to lock the laser to the feedback condition that supports the minimum-RIN operation condition. This serves, in turn, to enhance the SFDR of the analog photonic link. As an additional benefit, it was experimentally shown that interferometric IM3 was also minimized under the optimal feedback phase φex condition for minimal RIN. Thus, the feedback control approach of the present invention simultaneously minimizes RIN and interferometric intermodulation distortion in a directly modulated optical link.
In an illustrative embodiment, the laser diode's bias current (I) is used to optimize the feedback phase φex, thereby enabling the transmitter to operate at low RIN (and intermodulation distortion) over a long time span. In particular, a bias current feedback loop is used to control and lock the laser's performance parameters, so that its intensity noise and interferometric distortion are both actively minimized. The feedback control loop integrates the RIN of the diode laser over a targeted frequency bandwidth, and then computes the derivative D of this integrated RIN (RINint) with respect to the bias current I, i.e. D=δ(RINint)/δI, via the application of a very low frequency bias current dither. Using indicators derived from the polarity and magnitude of D, the bias current of the diode is then adjusted so that its intensity noise always sits at a minimum. With this new feedback approach for bias control, the third order intermodulation distortion (IM3) can be reduced by 45 dB (relative to its magnitude with the loop off).
In accordance with the teachings of the present invention, the laser transmitter 72 also includes a novel feedback control loop 76 adapted to control the bias current I of the diode laser 32, such that RIN and interferometric IM3 are minimized. The feedback control loop 76 includes a circuit 78 for detecting and measuring noise in the diode laser 32, and a processor 80 adapted to receive the noise measurements from the noise measuring circuit 78 and in accordance therewith, adjust the bias current I such that RIN is minimized.
In the illustrative embodiment of
In the illustrative embodiment of
The physical principle underlying the operation of the novel feedback control loop 76 can be briefly described as follows. Under external feedback, the extended—cavity laser oscillates at a frequency Ωo=2πc/λo that is dictated by Eqn. 3. When the bias current I of the laser is adjusted adiabatically by the feedback control loop 76, it incurs, via thermal effects, a small change in the original (solitary) lasing frequency ωo of the diode 32. This thermal tuning rate is approximately ˜1 Å/° C. (or 17.75 GHz/° C. at λo˜1300 nm) for DFB diode lasers. Using a typical thermal impedance of 60° C./watt for these diode lasers, a bias current increase of 2.09 mA (from Io˜40 mA) will induce a temperature change of ˜0.144° C. in the diode. This causes, in turn, a tiny shift in the solitary diode oscillation frequency ωo by 2.54 GHz (in optical frequency), i.e. by ˜0.143 Å in optical wavelength. However, this small shift is sufficient to tune the lasing frequency ωo over half of an external-cavity mode-spacing (Δfex), where Δfex is given by 1/τex (Δfex was ˜5.07 GHz in an illustrative embodiment). With this tuning of ωo over Δfex/2, the external feedback phase φex will change by τ (for the same round-trip time πex). As illustrated in the plot shown in
The graph of
Thus, the present invention has been described herein with reference to a particular embodiment for a particular application. Those having ordinary skill in the art and access to the present teachings will recognize additional modifications, applications and embodiments within the scope thereof.
It is therefore intended by the appended claims to cover any and all such applications, modifications and embodiments within the scope of the present invention.
Accordingly,